Pertanyaan

x → 2 lim 2 x 2 − x − 6 3 x 2 − 5 x − 2 = ....

$x \to 2 lim \frac{3 x ^{2} - 5 x - 2}{2 x ^{2} - x - 6} = ....$

F. Nur

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Malang

Jawaban terverifikasi

Jawaban

$limit as x rightwards arrow 2 of fraction numerator 3 x squared minus 5 x minus 2 over denominator 2 x squared minus x minus 6 end fraction equals 1$

Pembahasan

Dengan metode pemfaktoran. Jadi,

Dengan metode pemfaktoran.

$table attributes columnalign right center left columnspacing 0px end attributes row cell limit as x rightwards arrow 2 of fraction numerator 3 x squared minus 5 x minus 2 over denominator 2 x squared minus x minus 6 end fraction end cell equals cell limit as x rightwards arrow 2 of fraction numerator open parentheses 3 x plus 1 close parentheses up diagonal strike open parentheses x minus 2 close parentheses end strike over denominator open parentheses 2 x plus 3 close parentheses up diagonal strike open parentheses x minus 2 close parentheses end strike end fraction end cell row blank equals cell fraction numerator 3 times 2 plus 1 over denominator 2 times 2 plus 3 end fraction end cell row blank equals cell 7 over 7 end cell row blank equals 1 end table$

Jadi, $limit as x rightwards arrow 2 of fraction numerator 3 x squared minus 5 x minus 2 over denominator 2 x squared minus x minus 6 end fraction equals 1$